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14341704156 = 22341316720389
BaseRepresentation
bin11010101101101010…
…10000100111011100
31101000111110001120000
431112311100213130
5213332434013111
610331040254300
71015254321363
oct152665204734
941014401500
1014341704156
11609a57766a
122943011390
13147734c0a0
149a0a247da
1558e12dc56
hex356d509dc

14341704156 has 120 divisors (see below), whose sum is σ = 40619816160. Its totient is φ = 4386192768.

The previous prime is 14341704151. The next prime is 14341704163. The reversal of 14341704156 is 65140714341.

14341704156 is a `hidden beast` number, since 1 + 434 + 1 + 70 + 4 + 156 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14341704156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14341704151) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 693210 + ... + 713598.

It is an arithmetic number, because the mean of its divisors is an integer number (338498468).

Almost surely, 214341704156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14341704156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20309908080).

14341704156 is an abundant number, since it is smaller than the sum of its proper divisors (26278112004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14341704156 is a wasteful number, since it uses less digits than its factorization.

14341704156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20585 (or 20574 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 14341704156 in words is "fourteen billion, three hundred forty-one million, seven hundred four thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 167 234 324 334 351 468 501 668 702 1002 1053 1404 1503 2004 2106 2171 3006 4212 4342 4509 6012 6513 8684 9018 13026 13527 18036 19539 20389 26052 27054 39078 40778 54108 58617 61167 78156 81556 117234 122334 175851 183501 234468 244668 265057 351702 367002 530114 550503 703404 734004 795171 1060228 1101006 1590342 1651509 2202012 2385513 3180684 3303018 3404963 4771026 6606036 6809926 7156539 9542052 10214889 13619852 14313078 20429778 21469617 28626156 30644667 40859556 42939234 44264519 61289334 85878468 88529038 91934001 122578668 132793557 177058076 183868002 265587114 275802003 367736004 398380671 531174228 551604006 796761342 1103208012 1195142013 1593522684 2390284026 3585426039 4780568052 7170852078 14341704156